Answer:
200 mL
Step-by-step explanation:
If x is the volume of solution B:
0.06 (500) + 0.20 x = 0.10 (500 + x)
30 + 0.20 x = 50 + 0.10 x
0.10 x = 20
x = 200
Answer: He used 200 milliliters of Solution B.
Step-by-step explanation:
Let x represent the volume of solution B that he uses.
Alonzo has two solutions that contain alcohol and is mixing them with each other. Solution A is 6% alcohol and Solution B is 20% alcohol. If he uses 500 milliliters of Solution A and x milliliters of Solution B, then the total volume of the mixture would be (500 + x) milliliters. If the resulting mixture is a 10% alcohol solution, the expression becomes
(6/100 × 500) + (20/100 × x) = (10/100 × (500 + x))
30 + 0.2x = 0.1(500 + x)
30 + 0.2x = 50 + 0.1x
0.2x - 0.1x = 50 - 30
0.1x = 20
x = 20/0.1
x = 200
